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Finding the Fourth Proportional to 847.19, 1,273.05 and 457.47

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Solution

The fourth proportional to 847.19, 1,273.05 and 457.47 is: 687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.19 : 1,273.05 = 457.47 : x
  2. Step 2: Convert to fraction form
    847.19/1,273.05 = 457.47/x
  3. Step 3: Cross multiply
    847.19x = 1,273.05 × 457.47
  4. Step 4: Simplify right side
    847.19x = 582,382.18
  5. Step 5: Solve for x
    x = 582,382.18/847.19
  6. Step 6: Final answer
    x = 687.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.